Coordinate Geometry (1) Flashcards
The equations of a line
y - y1 = m(x - x1)
y = mx + c
ax + by + c = 0
y - y1 = m(x - x1)
y = mx + c
ax + by + c = 0
The equations of a line
The easiest way to find the gradient in y - y1 = m(x - x1)
m = (y2 - y1)/(x2 - x1)
m = (y2 - y1)/(x2 - x1)
The easiest way to find the gradient in y - y1 = m(x - x1)
When are lines parallel?
When the gradients are the same
When the gradients are the same
When are lines parallel?
What is the gradient of a perpendicular line?
-1 / gradient of the other line
-1 / gradient of the other line
What is the gradient of a perpendicular line?
What is the equation of a circle?
(x-a)^2 + (y-b)^2 = r^2
(x-a)^2 + (y-b)^2 = r^2
What is the equation of a circle?
What is the angle in a semi-angle?
A right angle
A right angle
What is the angle in a semi-angle?
What happens to the perpendicular from the centre to a chord?
It bisects the chord
It bisects the chord
What happens to the perpendicular from the centre to a chord?
A radius and tangent to the same point
Will meet at a right angle
